The uniqueness statement in Theorem REF  implies smoothness of solution to the Plateau problem for seven-dimensional currents in \(\mathbb {R}^8\)  with generic boundary data (see [1]}). Later, Smale used Theorem REF  to prove that for \((M^8,g)\)  a closed Riemannian manifold and \(\alpha \in H_7(M;\mathbb {Z})\) , there is a \(C^k\) -close metric \(g^{\prime }\)  so that the least area representative of \(\alpha \)  is smooth [2]}.
